Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032be |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-22642875489024 = -1 · 28 · 36 · 72 · 195 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -4 -2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13188,626276] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-342:1] [1:783:1] |
Generators of the group modulo torsion |
j |
-27739393024/2476099 |
j-invariant |
L |
9.4424832366396 |
L(r)(E,1)/r! |
Ω |
0.66220173752015 |
Real period |
R |
0.35648061238923 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7448v1 67032j1 |
Quadratic twists by: -3 -7 |